A continuous time signal x(t) = 4 cos(200πt) + 8 cos(400πt), where t is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response h (t) = {\\begin{array}{c}\\\{2sin\\\(300\pi\\\t)\\\\end\frac{array}{\pi t} , t \neq 0 ; 600, , t = 0 ; }. Let y(t) be the output of this filter. The maximum value of |y(t)| is ________.

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A continuous time signal x(t) = 4 cos(200πt) + 8 cos(400πt), where t is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response

h (t) = {\{\table \;{2sin\;(300π\;t)\;}/{π\;t} , t ≠ 0 ; 600, , t = 0 ; }.

Let y(t) be the output of this filter. The maximum value of |y(t)| is ________.

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